Chaos最新文献_第7页

Traveling waves in an ensemble of excitable oscillators: The interplay of memristive coupling and noise.

IF 2.7 2区数学

Chaos Pub Date : 2024-12-01 DOI: 10.1063/5.0215152

Ivan A Korneev, Ibadulla R Ramazanov, Andrei V Slepnev, Tatiana E Vadivasova, Vladimir V Semenov

引用次数: 0

Performance estimation of a piezoelectric energy harvester with rotatable external magnets.

IF 2.7 2区数学

Chaos Pub Date : 2024-12-01 DOI: 10.1063/5.0231452

Diandian Cui, Huilin Shang

{"title":"Performance estimation of a piezoelectric energy harvester with rotatable external magnets.","authors":"Diandian Cui, Huilin Shang","doi":"10.1063/5.0231452","DOIUrl":"https://doi.org/10.1063/5.0231452","url":null,"abstract":"This study estimates the performance of a piezoelectric energy harvester (PEH) with rotatable external magnets from the viewpoint of global dynamics. According to static analysis of the PEH dynamic system, the monostable and bistable potential wells are configured under different values of the inclined angle of the external magnets. In the monostable case, the method of multiple scales is applied for the analysis of periodic responses, while the extended averaging method and the Melnikov method are utilized to analyze the periodic and chaotic responses in the bistable case. Numerical results are in great agreement with the theoretical ones. It follows from the comparison of the dynamical behaviors in the two cases that the bistable-well configuration is more efficient in harvesting vibration energy under low-frequency or low-level ambient excitation. In the bistable case, sequences of the coexisting attractors and basins of attraction (BAs) with the increase in the excitation strength are presented, illustrating that the inter-well periodic and chaotic responses can be successively triggered by the rise in the excitation level, and which attractor will contribute to increasing the voltage output depends on the location and size of their BAs. With the increase in the excitation level, rich nonlinear dynamic phenomena, such as multistability, period-2 attractors, chaos, fractal BAs, and hidden attractors, can be observed.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"34 12","pages":""},"PeriodicalIF":2.7,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142784315","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Emergent behaviors of two thermodynamically consistent inertial spin models.

IF 2.7 2区数学

Chaos Pub Date : 2024-12-01 DOI: 10.1063/5.0223494

Seung-Yeal Ha, Guanghui Jin, Youwei Ma, Wook Yoon

引用次数: 0

Hippocampus encoding memory engrams as stable heteroclinic network.

IF 2.7 2区数学

Chaos Pub Date : 2024-12-01 DOI: 10.1063/5.0223045

Lei Yang, Honghui Zhang, Zhongkui Sun

{"title":"Hippocampus encoding memory engrams as stable heteroclinic network.","authors":"Lei Yang, Honghui Zhang, Zhongkui Sun","doi":"10.1063/5.0223045","DOIUrl":"https://doi.org/10.1063/5.0223045","url":null,"abstract":"The transient activity of the brain can be characterized by stable heteroclinic channels (SHCs) in the phase space of dynamical models, and the saddle points can represent the metastable states of brain activity. Inspired by this view, based on the hippocampal CA3-CA1 synaptic network model of memory we constructed earlier, we encode memory engrams as trajectories within the SHC in phase space. Short-term memory is transformed into long-term memory and then is encoded as trajectories within the SHC. The saddle points indicate the information blocks that have been segmented during the process of short-term memory. A stable heteroclinic network (SHN) is composed of multiple SHCs, whose trajectories express the memory engrams formed after the conversion of multiple short-term memories into long-term memories. From the existence conditions of SHC and SHN, the asymmetric regulation of neurotransmitters such as acetylcholine on the inhibition strength of adjacent postsynaptic neurons determines the capacity of short-term memory and participates in the encoding of long-term memory. Numerical results reveal the hysteresis effect of saddle points on the trajectories that reflect the limited capacity of short-term memory. All saddle points in the SHNs enable long-term memory to possess an extremely large capacity. Moreover, while noise in the hippocampal circuit can lead to the loss or confusion of memory information, it can also facilitate the encoding of long-term memories. The model and its theoretical analysis allow us to explain memory from the perspective of dynamics and have guiding significance for understanding the encoding and storage process of memory.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"34 12","pages":""},"PeriodicalIF":2.7,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142766826","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Most probable trajectories of a birhythmic oscillator under random perturbations.

IF 2.7 2区数学

Chaos Pub Date : 2024-12-01 DOI: 10.1063/5.0229131

Wenting Zhang, Wei Xu, Yaning Tang, Jürgen Kurths

{"title":"Most probable trajectories of a birhythmic oscillator under random perturbations.","authors":"Wenting Zhang, Wei Xu, Yaning Tang, Jürgen Kurths","doi":"10.1063/5.0229131","DOIUrl":"https://doi.org/10.1063/5.0229131","url":null,"abstract":"This study investigates the most probable trajectories of a birhythmic oscillator under stochastic perturbations. The distinctive feature of the birhythmic oscillator is the coexistence of two stable limit cycles with different amplitudes and frequencies, separated by an unstable limit cycle. The path integral method was utilized to compute the instantaneous probability density. Based on the theory of most probable dynamics, by maximizing the probability density function, we present the time series of the most probable trajectories starting from different initial states. Furthermore, we conducted a detailed analysis of the noise-induced transitions between the two stable limit cycles under different parameter conditions. This approach enables us to understand and track the most probable escape time and specific most probable trajectories as the system transitions from the basin of attraction of one stable limit cycle to another. This work visualizes the most probable trajectories in stochastic systems and provides an innovative solution to the complex problem of noise-induced transitions between two stable limit cycles. Our research aims to provide a new perspective for studying complex stochastic dynamical systems.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"34 12","pages":""},"PeriodicalIF":2.7,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142766844","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Phase transition in a kinetic mean-field game model of inertial self-propelled agents.

IF 2.7 2区数学

Chaos Pub Date : 2024-12-01 DOI: 10.1063/5.0230729

Piyush Grover, Mandy Huo

引用次数: 0

Polyglot entrainment for higher dimensional neuronal models.

IF 2.7 2区数学

Chaos Pub Date : 2024-12-01 DOI: 10.1063/5.0232907

Lawan Wijayasooriya, Emel Khan, Rakhshanda Qasim, Pejman Sanaei

{"title":"Polyglot entrainment for higher dimensional neuronal models.","authors":"Lawan Wijayasooriya, Emel Khan, Rakhshanda Qasim, Pejman Sanaei","doi":"10.1063/5.0232907","DOIUrl":"https://doi.org/10.1063/5.0232907","url":null,"abstract":"The entrainment of biological oscillators is a classic problem in the field of dynamical systems and synchronization. This paper explores a novel type of entrainment mechanism referred to as polyglot entrainment [Khan et al., \"The emergence of polyglot entrainment responses to periodic inputs in vicinities of Hopf bifurcations in slow-fast systems,\" Chaos 32, 063137 (2022)] (multiple disconnected 1:1 regions for a range of forcing amplitude) for higher dimensional nonlinear systems. Polyglot entrainment has been recently explored only in two-dimensional slow-fast models in the vicinity of Hopf bifurcations (HBs). Heading toward generality, in this research, we investigate the phenomenon of polyglot entrainment in higher-dimensional conductance-based models including the four-dimensional Hodgkin-Huxley model and its reduced three-dimensional version. We utilize dynamical systems tools to uncover the mechanism of entrainment and geometric structure of the null surfaces to explore the conditions for the existence of polyglot entrainment in these models. In light of our findings, in the vicinity of HB, when an unforced system acts as a damped oscillator and the fixed point is located near a cubic-like manifold, polyglot entrainment is observed.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"34 12","pages":""},"PeriodicalIF":2.7,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142766863","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Dispersal induced catastrophic bifurcations, Arnold tongues, shrimp structures, and stock patterns in an ecological system.

IF 2.7 2区数学

Chaos Pub Date : 2024-12-01 DOI: 10.1063/5.0240974

Rajni, Bapan Ghosh

{"title":"Dispersal induced catastrophic bifurcations, Arnold tongues, shrimp structures, and stock patterns in an ecological system.","authors":"Rajni, Bapan Ghosh","doi":"10.1063/5.0240974","DOIUrl":"https://doi.org/10.1063/5.0240974","url":null,"abstract":"This paper presents a comprehensive analysis of a discrete-time predator-prey model within a homogeneous two-patch environment, incorporating both prey and predator dispersal. We consider a logistic growth for both prey and predator species, and the predation process is based on the Holling type-II functional response in the isolated patches. We explore the existence of multiple coexisting equilibria and establish their stability conditions. By independently varying the prey and predator dispersal rates, we discover a sequence of phenomena including bifurcations, quasiperiodicity, and chaos. In addition, we observe a 10-period orbit, each point of the periodic orbit gives birth to a closed invariant curve. Such large number of closed invariant curves are generally not reported in spatially coupled population models. The system exhibits both catastrophic (non-smooth) jumps and smooth transitions in the dynamics whenever a bifurcation occurs. Commonly, dispersal can only destabilize the coexisting equilibrium. However, we found the stabilization of the coexisting equilibrium, which is a rare occurrence. Furthermore, a two-parameter space analysis reveals intricate dynamics when both dispersal rates are varied simultaneously, showcasing complex phenomena and the emergence of organized periodic regimes such as Arnold tongues and shrimp structures. We also investigate the stock pattern of both species with respect to the dispersal. This study enhances the understanding of predator-prey interactions in spatially homogeneous environments, illuminating their intricate and dynamic nature.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"34 12","pages":""},"PeriodicalIF":2.7,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142799575","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Chaotification and chaos control of q-homographic map.

IF 2.7 2区数学

Chaos Pub Date : 2024-12-01 DOI: 10.1063/5.0215334

Aishwaraya, V V M S Chandramouli

引用次数: 0

Non-local transitions and ground state switching in the self-organization of vascular networks.

IF 2.7 2区数学

Chaos Pub Date : 2024-12-01 DOI: 10.1063/5.0226893

Konstantin Klemm, Erik A Martens

{"title":"Non-local transitions and ground state switching in the self-organization of vascular networks.","authors":"Konstantin Klemm, Erik A Martens","doi":"10.1063/5.0226893","DOIUrl":"https://doi.org/10.1063/5.0226893","url":null,"abstract":"The model by D. Hu and D. Cai [Phys. Rev. Lett. 111, 138701 (2013). doi:10.1103/PhysRevLett.111.138701] describes the self-organization of vascular networks for transport of fluids from source to sinks. Diameters, and thereby, conductances, of vessel segments evolve so as to minimize a cost functional E. The cost is the trade-off between the power required for pumping the fluid and the energy consumption for vessel maintenance. The model has been used to show emergence of cyclic structures in the presence of locally fluctuating demand, i.e., non-constant net flow at sink nodes. Under rapid and sufficiently large fluctuations, the dynamics exhibits the bistability of tree-like and cyclic network structures. We compare these solutions in terms of the cost functional E. Close to the saddle-node bifurcation giving rise to the cyclic solutions, we find a parameter regime where the tree-like solution rather than the cyclic solution is cost-optimal. Thus, we discover an additional, non-local transition where tree-like and cyclic solutions exchange their roles as minimum-cost (or ground) states. The findings hold both in a small system of one source and a few sinks and in an empirical vascular network with hundreds of sinks. In the small system, we further analyze the case of slower fluctuations, i.e., on the same time scale as network adaptation. We find that the noisy dynamics settles around the cyclic structures even when these structures are not cost-optimal.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"34 12","pages":""},"PeriodicalIF":2.7,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142845813","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0