Hidden attractors in dynamical systems
Complex dynamical systems, ranging from the climate, ecosystems to financial markets and
engineering applications typically have many coexisting attractors. This property of the …
engineering applications typically have many coexisting attractors. This property of the …
Megastability: Coexistence of a countable infinity of nested attractors in a periodically-forced oscillator with spatially-periodic damping
Megastability: Coexistence of a countable infinity of nested attractors in a periodically-forced
oscillator with spatially-perio Page 1 Eur. Phys. J. Special Topics 226, 1979–1985 (2017) © …
oscillator with spatially-perio Page 1 Eur. Phys. J. Special Topics 226, 1979–1985 (2017) © …
[HTML][HTML] Dynamical analysis of a new multistable chaotic system with hidden attractor: Antimonotonicity, coexisting multiple attractors, and offset boosting
Analyzing chaotic systems with coexisting and hidden attractors has been receiving much
attention recently. In this article, we analyze a four dimensional chaotic system which has a …
attention recently. In this article, we analyze a four dimensional chaotic system which has a …
[HTML][HTML] A new class of Hamiltonian conservative chaotic systems with multistability and design of pseudo-random number generator
Compared to dissipative chaotic system, conservative chaotic systems have some attractive
features valuable for engineering applications, such as security communication. This paper …
features valuable for engineering applications, such as security communication. This paper …
Multiscroll chaotic sea obtained from a simple 3D system without equilibrium
Recently, many rare chaotic systems have been found including chaotic systems with no
equilibria. However, it is surprising that such a system can exhibit multiscroll chaotic sea. In …
equilibria. However, it is surprising that such a system can exhibit multiscroll chaotic sea. In …
Noise-induced entrainment and stochastic resonance in human brain waves
T Mori, S Kai - Physical review letters, 2002 - APS
We present the first observation of stochastic resonance (SR) in the human brain's visual
processing area. The novel experimental protocol is to stimulate the right eye with a …
processing area. The novel experimental protocol is to stimulate the right eye with a …
Coherence resonance and noise-induced synchronization in globally coupled Hodgkin-Huxley neurons
The coherence resonance (CR) of globally coupled Hodgkin-Huxley neurons is studied.
When the neurons are set in the subthreshold regime near the firing threshold, the additive …
When the neurons are set in the subthreshold regime near the firing threshold, the additive …
A modified multistable chaotic oscillator
In this paper, by modifying a known two-dimensional oscillator, we obtain an interesting new
oscillator with coexisting limit cycles and point attractors. Then by changing this new system …
oscillator with coexisting limit cycles and point attractors. Then by changing this new system …
Multistability: Uncovering hidden attractors
T Kapitaniak, GA Leonov - The European Physical Journal Special Topics, 2015 - Springer
This topical issue collects contributions exemplifying the recent scientific progress in
understanding the dynamics of multistable systems. The individual papers focus on different …
understanding the dynamics of multistable systems. The individual papers focus on different …
A new hidden chaotic attractor with extreme multi-stability
The topic of hidden attractors is a very hot topic in nonlinear dynamics. Multi-stability is
another important topic in that area. One recent important category of multi-stable systems is …
another important topic in that area. One recent important category of multi-stable systems is …