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Phase synchronization with type-II intermittency in chaotic oscillators 混沌振荡器中ii型间歇相位同步
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Pub Date : 2000-12-01 DOI: 10.1103/physreve.62.8826
Kim, Kim, Kye, Park
{"title":"Phase synchronization with type-II intermittency in chaotic oscillators","authors":"Kim,&nbsp;Kim,&nbsp;Kye,&nbsp;Park","doi":"10.1103/physreve.62.8826","DOIUrl":"https://doi.org/10.1103/physreve.62.8826","url":null,"abstract":"<p><p>We study the phase synchronization (PS) with type-II intermittency showing +/-2pi irregular phase jumping behavior before the PS transition occurs in a system of two coupled hyperchaotic Rossler oscillators. The behavior is understood as a stochastic hopping of an overdamped particle in a potential which has 2pi-periodic minima. We characterize it as type-II intermittency with external noise through the return map analysis. In epsilon(t)<epsilon<epsilon(c) (where epsilon(t) is the bifurcation point of type-II intermittency and epsilon(c) is the PS transition point in coupling strength parameter space), the average length of the time interval between two successive jumps follows <l> approximately exp(|epsilon(t)-epsilon|(2)), which agrees well with the scaling law obtained from the Fokker-Planck equation.</p>","PeriodicalId":20079,"journal":{"name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","volume":"62 6 Pt B","pages":"8826-9"},"PeriodicalIF":0.0,"publicationDate":"2000-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1103/physreve.62.8826","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"21960145","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 14
Stability properties of solitary waves and periodic wave trains in a two-dimensional network of spiking neurons. 二维尖峰神经元网络中孤波和周期波列的稳定性。
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Pub Date : 2000-12-01 DOI: 10.1103/physreve.62.8834
W M Kistler
{"title":"Stability properties of solitary waves and periodic wave trains in a two-dimensional network of spiking neurons.","authors":"W M Kistler","doi":"10.1103/physreve.62.8834","DOIUrl":"https://doi.org/10.1103/physreve.62.8834","url":null,"abstract":"<p><p>We investigate solitary waves of excitation in a two-dimensional network of spiking neurons with distance-dependent couplings. A continuum description is developed that does not require spatial or temporal averaging. Using this description, propagation velocities and dispersion relations for solitary waves and periodic wave trains can be calculated analytically. We show that the stability properties of solitary waves and wave trains are dominated by form instabilities which are genuine to the two-dimensional nature of the system.</p>","PeriodicalId":20079,"journal":{"name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","volume":"62 6 Pt B","pages":"8834-7"},"PeriodicalIF":0.0,"publicationDate":"2000-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1103/physreve.62.8834","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"21960147","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 20
Optical spatial shock waves in photorefractive media 光折变介质中的光学空间激波
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Pub Date : 2000-12-01 DOI: 10.1103/physreve.62.8657
Carvalho, Grandpierre, Christodoulides, Segev
{"title":"Optical spatial shock waves in photorefractive media","authors":"Carvalho,&nbsp;Grandpierre,&nbsp;Christodoulides,&nbsp;Segev","doi":"10.1103/physreve.62.8657","DOIUrl":"https://doi.org/10.1103/physreve.62.8657","url":null,"abstract":"<p><p>We show that the evolution equations describing the two-wave mixing interaction between two codirectional optical beams in photorefractive media can allow spatial shock-wave solutions. Our analysis indicates that these kink-type wavefronts move together at an angle that falls outside the initial +/-straight theta sector of propagation. The apparent direction of propagation and the spatial widths of these optical shock-wave beams are directly related to their relative intensity.</p>","PeriodicalId":20079,"journal":{"name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","volume":"62 6 Pt B","pages":"8657-62"},"PeriodicalIF":0.0,"publicationDate":"2000-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1103/physreve.62.8657","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"21960252","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
Energy focusing inside a dynamical cavity 动态腔内的能量聚焦
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Pub Date : 2000-12-01 DOI: 10.1103/physreve.62.8663
Colanero, Chu
{"title":"Energy focusing inside a dynamical cavity","authors":"Colanero,&nbsp;Chu","doi":"10.1103/physreve.62.8663","DOIUrl":"https://doi.org/10.1103/physreve.62.8663","url":null,"abstract":"<p><p>We study the exact classical solutions for a real scalar field inside a cavity with a wall whose motion is self-consistently determined by the pressure of the field itself. We find that, regardless of the system parameters, the long-time solution always becomes nonadiabatic and the field's energy concentrates into narrow peaks, which we explain by means of a simple mechanical system. We point out implications for the quantized theory.</p>","PeriodicalId":20079,"journal":{"name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","volume":"62 6 Pt B","pages":"8663-7"},"PeriodicalIF":0.0,"publicationDate":"2000-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1103/physreve.62.8663","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"21960253","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Lattice-boltzmann model for interacting amphiphilic fluids 两亲性流体相互作用的晶格-玻尔兹曼模型
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Pub Date : 2000-12-01 DOI: 10.1103/physreve.62.8282
Nekovee, Coveney, Chen, Boghosian
{"title":"Lattice-boltzmann model for interacting amphiphilic fluids","authors":"Nekovee,&nbsp;Coveney,&nbsp;Chen,&nbsp;Boghosian","doi":"10.1103/physreve.62.8282","DOIUrl":"https://doi.org/10.1103/physreve.62.8282","url":null,"abstract":"<p><p>We develop our recently proposed lattice-Boltzmann method for the nonequilibrium dynamics of amphiphilic fluids [H. Chen, B. M. Boghosian, P. V. Coveney, and M. Nekovee, Proc. R. Soc. London, Ser. A 456, 2043 (2000)]. Our method maintains an orientational degree of freedom for the amphiphilic species and models fluid interactions at a microscopic level by introducing self-consistent mean-field forces between the particles into the lattice-Boltzmann dynamics, in a way that is consistent with kinetic theory. We present the results of extensive simulations in two dimensions which demonstrate the ability of our model to capture the correct phenomenology of binary and ternary amphiphilic fluids.</p>","PeriodicalId":20079,"journal":{"name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","volume":"62 6 Pt B","pages":"8282-94"},"PeriodicalIF":0.0,"publicationDate":"2000-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1103/physreve.62.8282","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"21960685","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 71
Propagation speed of evanescent modes 倏逝模式的传播速度
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Pub Date : 2000-12-01 DOI: 10.1103/physreve.62.8628
Barbero, Hernandez-Figueroa, Recami
{"title":"Propagation speed of evanescent modes","authors":"Barbero,&nbsp;Hernandez-Figueroa,&nbsp;Recami","doi":"10.1103/physreve.62.8628","DOIUrl":"https://doi.org/10.1103/physreve.62.8628","url":null,"abstract":"<p><p>The group velocity of evanescent waves (in undersized waveguides, for instance) was theoretically predicted, and has been experimentally verified, to be superluminal (v(g)>c). By contrast, it is known that the precursor speed in vacuum cannot be larger than c. In this paper, by computer simulations based on Maxwell equations only, we show the existence of both phenomena. In other words, we verify the actual possibility of superluminal group velocities, without violating the so-called (naive) Einstein causality.</p>","PeriodicalId":20079,"journal":{"name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","volume":"62 6 Pt B","pages":"8628-35"},"PeriodicalIF":0.0,"publicationDate":"2000-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1103/physreve.62.8628","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"21961042","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 85
Path-integral formulation of stochastic processes for exclusive particle systems 排外粒子系统随机过程的路径积分公式
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Pub Date : 2000-12-01 DOI: 10.1103/physreve.62.7642
Park, Kim, Park
{"title":"Path-integral formulation of stochastic processes for exclusive particle systems","authors":"Park,&nbsp;Kim,&nbsp;Park","doi":"10.1103/physreve.62.7642","DOIUrl":"https://doi.org/10.1103/physreve.62.7642","url":null,"abstract":"<p><p>We present a systematic formalism to derive a path-integral formulation for hard-core particle systems far from equilibrium. Writing the master equation for a stochastic process of the system in terms of the annihilation and creation operators with mixed commutation relations, we find the Kramers-Moyal coefficients for the corresponding Fokker-Planck equation (FPE), and the stochastic differential equation (SDE) is derived by connecting these coefficients in the FPE to those in the SDE. Finally, the SDE is mapped onto field theory using the path integral, giving the field-theoretic action, which may be analyzed by the renormalization group method. We apply this formalism to a two-species reaction-diffusion system with drift, finding a universal decay exponent for the long-time behavior of the average concentration of particles in arbitrary dimension.</p>","PeriodicalId":20079,"journal":{"name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","volume":"62 6 Pt A","pages":"7642-5"},"PeriodicalIF":0.0,"publicationDate":"2000-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1103/physreve.62.7642","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"21958993","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
Local (in time) maximal lyapunov exponents of fragmenting drops 碎片滴的局部(在时间上)极大lyapunov指数
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Pub Date : 2000-12-01 DOI: 10.1103/physreve.62.7848
Balenzuela, Bonasera, Dorso
{"title":"Local (in time) maximal lyapunov exponents of fragmenting drops","authors":"Balenzuela,&nbsp;Bonasera,&nbsp;Dorso","doi":"10.1103/physreve.62.7848","DOIUrl":"https://doi.org/10.1103/physreve.62.7848","url":null,"abstract":"<p><p>We analyze the dynamics of fragment formation in simulations of exploding three-dimensional Lennard-Jones hot drops, using the maximum local (in time) Lyapunov exponent (MLLE). The dependence of this exponent on the excitation energy of the system displays two different behaviors according to the stage of the dynamical evolution: one related to the highly collisional stage of the evolution, at early times, and the other related to the asymptotic state. We show that in the early, highly collisional, stage of the evolution the MLLE is an increasing function of the energy, as in an infinite-size system. On the other hand, at long times, the MLLE displays a maximum, depending mainly on the size of the resulting biggest fragment. We compare the time scale at which the MLLE's reach their asymptotic values with the characteristic time of fragment formation in phase space. Moreover, upon calculation of the maximum Lyapunov exponent (MLE) of the resulting fragments, we show that their dependence with the mass can be traced to bulk effects plus surface corrections. Using this information the asymptotic behavior of the MLLE can be understood and the fluctuations of the MLE of the whole system can be easily calculated. These fluctuations display a sudden increase for that excitation energy which produces a power-law-like asymptotic distribution of fragments.</p>","PeriodicalId":20079,"journal":{"name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","volume":"62 6 Pt A","pages":"7848-56"},"PeriodicalIF":0.0,"publicationDate":"2000-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1103/physreve.62.7848","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"21959293","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Comparison of current-driven and conductance-driven neocortical model neurons with Hodgkin-Huxley voltage-gated channels. 具有霍奇金-赫胥黎电压门控通道的电流驱动和电导驱动新皮层模型神经元的比较。
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Pub Date : 2000-12-01 DOI: 10.1103/physreve.62.8413
P H Tiesinga, J V José, T J Sejnowski
{"title":"Comparison of current-driven and conductance-driven neocortical model neurons with Hodgkin-Huxley voltage-gated channels.","authors":"P H Tiesinga,&nbsp;J V José,&nbsp;T J Sejnowski","doi":"10.1103/physreve.62.8413","DOIUrl":"https://doi.org/10.1103/physreve.62.8413","url":null,"abstract":"<p><p>Intrinsic noise and random synaptic inputs generate a fluctuating current across neuron membranes. We determine the statistics of the output spike train of a biophysical model neuron as a function of the mean and variance of the fluctuating current, when the current is white noise, or when it derives from Poisson trains of excitatory and inhibitory postsynaptic conductances. In the first case, the firing rate increases with increasing variance of the current, whereas in the latter case it decreases. In contrast, the firing rate is independent of variance (for constant mean) in the commonly used random walk, and perfect integrate-and-fire models for spike generation. The model neuron can be in the current-dominated state, representative of neurons in the in vitro slice preparation, or in the fluctuation-dominated state, representative of in vivo neurons. We discuss the functional relevance of these states to cortical information processing.</p>","PeriodicalId":20079,"journal":{"name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","volume":"62 6 Pt B","pages":"8413-9"},"PeriodicalIF":0.0,"publicationDate":"2000-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1103/physreve.62.8413","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"21959305","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 116
Nearest pattern interaction and global pattern formation 最近模式交互和全局模式形成
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Pub Date : 2000-12-01 DOI: 10.1103/physreve.62.7778
Jeong, Moon, Ko
{"title":"Nearest pattern interaction and global pattern formation","authors":"Jeong,&nbsp;Moon,&nbsp;Ko","doi":"10.1103/physreve.62.7778","DOIUrl":"https://doi.org/10.1103/physreve.62.7778","url":null,"abstract":"<p><p>We studied the effect of nearest pattern interaction on a global pattern formation in a two-dimensional space, where patterns are to grow initially from a noise in the presence of a periodic supply of energy. Although our approach is general, we found that this study is relevant in particular to the pattern formation on a periodically vibrated granular layer, as it gives a unified perspective of the experimentally observed pattern dynamics such as oscillon and stripe formations, skew-varicose and crossroll instabilities, and also a kink formation and decoration.</p>","PeriodicalId":20079,"journal":{"name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","volume":"62 6 Pt A","pages":"7778-80"},"PeriodicalIF":0.0,"publicationDate":"2000-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1103/physreve.62.7778","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"21959948","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
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