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Bifurcations and Chaos in Dynamical Systems
Complex systems theory deals with dynamical systems containing often large numbers of variables. It extends dynamical systems theory, which treats...
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Anisotropic and frame dependent chaos of suspended strings from a dynamical holographic QCD model with magnetic field
We investigate both from a qualitative as well as quantitative perspective the emergence of chaos in the QCD confining string in a magnetic field...
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Bifurcations and Chaos in Open Quantum Systems
A study of open quantum systems and dynamical regimes that emerge in such systems is an actively develo** field of the theoretical and experimental...
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Quantum Chaos
In classical mechanics, chaos originates from nonlinearity and is extremely sensitive to initial conditions. For different but exceedingly close...
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Bloch theorem dictated wave chaos in microcavity crystals
Universality class of wave chaos emerges in many areas of science, such as molecular dynamics, optics, and network theory. In this work, we...
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Switching, explosion, and chaos of multi-wavelength soliton states in ultrafast fiber lasers
Because of the complexity and difficulty of realizing a multi-wavelength soliton state, reports on its internal dynamic characteristics are scarce....
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Dynamical System and Chaos An Introduction with Applications
This textbook introduces the language and the techniques of the theory of dynamical systems of finite dimension for an audience of physicists,...
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Impact of electric charges on chaos in magnetized Reissner–Nordström spacetimes
We consider the motion of test particles around a Reissner–Nordström black hole immersed into a strong external magnetic field modifying the...
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Applicability of the 0–1 test for chaos in magnetized Kerr–Newman spacetimes
The dynamics of electrically neutral or charged particles around a magnetized Kerr–Newman black hole immersed in an external electromagnetic field...
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Suppression of chaos in the periodically perturbed generalized complex Ginzburg–Landau equation by means of parametric excitation
The generalized complex Ginzburg–Landau equation is considered. An analytical condition for the existence of horseshoe chaos is obtained for the...
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Three Forms of Dynamical Chaos
This work is a review of recent results, which have been obtained within the framework of the mathematical theory of dynamical chaos and are related...
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Desynchronization and Chaos in the Kuramoto Model
Abstract. The Kuramoto model of N globally coupled phase oscillators is an essentially non-linear dynamical system with a rich dynamical behavior and...
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Chaos and Information
Chaotic systems are characterised by their sensitivity to small disturbances in initial position, which results in diverging trajectories, with the...
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Spin Chaos of Exciton Polaritons in a Magnetic Field
The spin properties of exciton polaritons in a micropillar cavity placed in a static magnetic field and excited by a resonant light wave are studied...
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Chaos anti-control of coexisting infinite signals and pinning synchronization of a complex-valued laser chain network
There are many applications of chaos anti-control from its inherent state to the expected chaotic state in different disciplines ranging from...
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Hyperchaotic multiscroll dynamics, complex behavior in a simple homogeneous dynamical network of jerk oscillators: bidirectional coupling scheme method, dynamical study, analog circuit and microcontroller-based implementation
Network dynamics is the subject of a great deal of scientific research these days. Its scope is not only restricted to the study of the collective...
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Nonlinear dynamics in space plasma turbulence: temporal stochastic chaos
Intermittent turbulence is key for understanding the stochastic nonlinear dynamics of space, astrophysical, and laboratory plasmas. We review the...
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Dynamical analysis and implementation of novel discrete memristive chaotic maps with hidden attractors
Memristors have brought new driving force to the development of chaos theory for their intrinsic nonlinearity. Thus, it becomes an attractive...
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Local Poincaré algebra from quantum chaos
The local two-dimensional Poincaré algebra near the horizon of an eternal AdS black hole, or in proximity to any bifurcate Killing horizon, is...
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Krylov complexity and chaos in quantum mechanics
Recently, Krylov complexity was proposed as a measure of complexity and chaoticity of quantum systems. We consider the stadium billiard as a typical...