Results 31 to 40 of about 1,300,042 (313)
Hidden Bifurcations in the Multispiral Chua Attractor [PDF]
International Journal of Bifurcation and Chaos, 2016 We introduce a novel method revealing hidden bifurcations in the multispiral Chua attractor in the case where the parameter of bifurcation [Formula: see text] which determines the number of spiral is discrete. This method is based on the core idea of the genuine Leonov and Kuznetsov method for searching hidden attractors (i.e.
Tidjani Menacer +2 more
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Approximating hidden chaotic attractors via parameter switching [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2018 In this paper, the problem of approximating hidden chaotic attractors of a general class of nonlinear systems is investigated. The parameter switching (PS) algorithm is utilized, which switches the control parameter within a given set of values with the initial value problem numerically solved.
Danca, Marius-F. +3 more
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A New Fractional-Order Chaotic System with Different Families of Hidden and Self-Excited Attractors
Entropy, 2018 In this work, a new fractional-order chaotic system with a single parameter and four nonlinearities is introduced. One striking feature is that by varying the system parameter, the fractional-order system generates several complex dynamics: self-excited ...
Jesus M. Munoz-Pacheco +5 more
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Smoothing tautologies, hidden dynamics, and sigmoid asymptotics for piecewise smooth systems [PDF]
, 2015 Switches in real systems take many forms, such as impacts, electronic relays, mitosis, and the implementation of decisions or control strategies. To understand what is lost, and what can be retained, when we model a switch as an instantaneous event ...
Bender C. M. +8 more
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A New Megastable Chaotic Oscillator with Blinking Oscillation terms
Complexity, 2021 Recently, megastable systems have grabbed many researchers’ interests in the area of nonlinear dynamics and chaotic systems. In this paper, the oscillatory terms’ coefficients of the simplest megastable oscillator are forced to blink in time.
Dhinakaran Veeman +5 more
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Results in Physics, 2023 This paper reports a new fractional-order Chua’s system with arctan function and an algorithm for determining the initial value of fractional-order hidden attractors.
Xianming Wu +5 more
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Generating Any Number of Diversified Hidden Attractors via Memristor Coupling
IEEE Transactions on Circuits and Systems Part 1: Regular Papers, 2021 Memristors are widely used to construct multi-scroll/wing chaotic systems with complex dynamics. However, the generation of a multi-scroll/wing attractor is typically not induced by the memristor but depends on other nonlinear functions in the system ...
Sen Zhang +5 more
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AIMS Mathematics, 2022 The optimization of fractional-order (FO) chaotic systems is challenging when simulating a considerable number of cases for long times, where the primary problem is verifying if the given parameter values will generate chaotic behavior.
Daniel Clemente-López +4 more
semanticscholar +1 more source
Hold-in, pull-in, and lock-in ranges of PLL circuits: rigorous mathematical definitions and limitations of classical theory [PDF]
, 2015 The terms hold-in, pull-in (capture), and lock-in ranges are widely used by engineers for the concepts of frequency deviation ranges within which PLL-based circuits can achieve lock under various additional conditions. Usually only non-strict definitions
Kuznetsov, N. V. +3 more
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A Symmetric Controllable Hyperchaotic Hidden Attractor [PDF]
Symmetry, 2020 By introducing a simple feedback, a hyperchaotic hidden attractor is found in the newly proposed Lorenz-like chaotic system. Some variables of the equilibria-free system can be controlled in amplitude and offset by an independent knob. A circuit experiment based on Multisim is consistent with the theoretic analysis and numerical simulation.
Xin Zhang +4 more
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