Nonlinear behavior of a novel chaotic jerk system: antimonotonicity, crises, and multiple coexisting attractors
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Dynamics and Control"
DOI: 10.1007/s40435-017-0318-6
Abstract: In this contribution, a novel Jerk system with a smooth piecewise quadratic nonlinearity is introduced. The new nonlinearity provides a similar smoothness as the cubic polynomial function, but a faster response and a simpler circuitry.… read more here.
Keywords: system; antimonotonicity; coexisting attractors; jerk system ... See more keywords
Transient and steady coexisting attractors in a new memristor-based 4-D chaotic circuit
Sign Up to like & getrecommendations! Published in 2019 at "AEU - International Journal of Electronics and Communications"
DOI: 10.1016/j.aeue.2019.07.002
Abstract: Abstract In this study, a new current-controlled memristor is proposed and its characteristics are analyzed. Based on this new memristor, a new four-dimensional chaotic circuit is proposed. The complex dynamics of the proposed chaotic circuit… read more here.
Keywords: memristor based; new memristor; chaotic circuit; circuit ... See more keywords
Controlling coexisting attractors of an impacting system via linear augmentation
Sign Up to like & getrecommendations! Published in 2017 at "Physica D: Nonlinear Phenomena"
DOI: 10.1016/j.physd.2017.02.018
Abstract: Abstract This paper studies the control of coexisting attractors in an impacting system via a recently developed control law based on linear augmentation. Special attention is given to two control issues in the framework of… read more here.
Keywords: control; system via; coexisting attractors; impacting system ... See more keywords
Controlling coexisting attractors of a class of non-autonomous dynamical systems
Sign Up to like & getrecommendations! Published in 2021 at "Physica D: Nonlinear Phenomena"
DOI: 10.1016/j.physd.2021.133134
Abstract: This paper studies a control method for switching stable coexisting attractors of a class of non-autonomous dynamical systems. The central idea is to introduce a continuous path for the system’s trajectory to transition from its… read more here.
Keywords: dynamical systems; non autonomous; class non; coexisting attractors ... See more keywords
Coexisting attractors and multi-stability within a Lorenz model with periodic heating function
Sign Up to like & getrecommendations! Published in 2023 at "Physica Scripta"
DOI: 10.1088/1402-4896/accda0
Abstract: In this paper, the classical Lorenz model is under investigation, in which a periodic heating term replaces the constant one. Applying the variable heating term causes time-dependent behaviors in the Lorenz model. The time series… read more here.
Keywords: coexisting attractors; system; periodic heating; model ... See more keywords
Embedding any desired number of coexisting attractors in memristive system
Sign Up to like & getrecommendations! Published in 2021 at "Chinese Physics B"
DOI: 10.1088/1674-1056/ac1e1f
Abstract: A simple variable-boostable system is selected as the structure for hosting an arbitrarily defined memristor for chaos producing. The derived three-dimensional (3-D) memristive chaotic system shows its distinct property of offset, amplitude and frequency control.… read more here.
Keywords: system; desired number; coexisting attractors; embedding desired ... See more keywords
Dynamical study of VDPCL oscillator: antimonotonicity, bursting oscillations, coexisting attractors and hardware experiments
Sign Up to like & getrecommendations! Published in 2020 at "European Physical Journal Plus"
DOI: 10.1140/epjp/s13360-020-00572-9
Abstract: Some years ago, Fotsin and Woafo (Phys Scrip 71:241, 2005) introduced and investigated an electronic circuit consisting of Van der Pol oscillator coupled to a linear oscillator, which appeared to be chaotic. Later, some few… read more here.
Keywords: bursting oscillations; hardware experiments; oscillator; coexisting attractors ... See more keywords
Coexisting attractors, circuit realization and impulsive synchronization of a new four-dimensional chaotic system
Sign Up to like & getrecommendations! Published in 2019 at "Modern Physics Letters B"
DOI: 10.1142/s021798491950026x
Abstract: This paper presents a new four-dimensional chaotic system with three nonlinearities and two equilibria. The most striking feature of the new system is that it has different types of asymmetric coexisting attractors. Simulation experiments are… read more here.
Keywords: new four; system; dimensional chaotic; four dimensional ... See more keywords
Symmetric coexisting attractors and extreme multistability in chaotic system
Sign Up to like & getrecommendations! Published in 2021 at "Modern Physics Letters B"
DOI: 10.1142/s0217984921504583
Abstract: In this paper, a new four-dimensional (4D) chaotic system with two cubic nonlinear terms is proposed. The most striking feature is that the new system can exhibit completely symmetric coexisting bifurcation behaviors and four symmetric… read more here.
Keywords: system; symmetric coexisting; extreme multistability; chaotic system ... See more keywords