Search Results - "Sprott, J. C."
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A New Chaotic Jerk Circuit
Published in IEEE transactions on circuits and systems. II, Express briefs (01-04-2011)“…Much recent interest has been given to simple chaotic oscillators based on jerk equations that involve a third-time derivative of a single scalar variable. The…”
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Simple Autonomous Chaotic Circuits
Published in IEEE transactions on circuits and systems. II, Express briefs (01-09-2010)“…Over the last several decades, numerous electronic circuits exhibiting chaos have been proposed. Nonautonomous circuits with as few as two physical components…”
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3
Simple chaotic systems and circuits
Published in American journal of physics (01-08-2000)“…Many new chaotic systems with algebraically simple representations are described. These systems involve a single third-order autonomous ordinary differential…”
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4
A new class of chaotic circuit
Published in Physics letters. A (14-02-2000)“…A new class of chaotic electrical circuit using only resistors, capacitors, diodes, and inverting operational amplifiers is described. This circuit solves the…”
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5
Using Rate of Divergence as an Objective Measure to Differentiate between Voice Signal Types Based on the Amount of Disorder in the Signal
Published in Journal of voice (01-01-2017)“…Summary Objective/Hypothesis The purpose of this paper is to introduce the rate of divergence as an objective measure to differentiate between the four voice…”
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Chaotic flows with a single nonquadratic term
Published in Physics letters. A (10-01-2014)“…This paper addresses a previously unexplored regime of three-dimensional dissipative chaotic flows in which all but one of the nonlinearities are quadratic…”
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7
Some simple chaotic jerk functions
Published in American journal of physics (01-06-1997)“…A numerical examination of third-order, one-dimensional, autonomous, ordinary differential equations with quadratic and cubic nonlinearities has uncovered a…”
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Amplitude control approach for chaotic signals
Published in Nonlinear dynamics (01-08-2013)“…A general approach based on the introduction of a control function for constructing amplitude-controllable chaotic systems with quadratic nonlinearities is…”
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9
Elementary quadratic chaotic flows with no equilibria
Published in Physics letters. A (15-03-2013)“…Three methods are used to produce a catalog of seventeen elementary three-dimensional chaotic flows with quadratic nonlinearities that have the unusual feature…”
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A dynamical system with a strange attractor and invariant tori
Published in Physics letters. A (04-04-2014)“…This paper describes a simple three-dimensional time-reversible system of ODEs with quadratic nonlinearities and the unusual property that it is exhibits…”
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11
Finding coexisting attractors using amplitude control
Published in Nonlinear dynamics (01-11-2014)“…Nonlinear dynamical systems often have multiple stable states and thus can harbor coexisting and hidden attractors that may pose an inconvenience or even…”
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Variants of the Nosé–Hoover oscillator
Published in The European physical journal. ST, Special topics (01-03-2020)“…The Nosé–Hoover oscillator is a well-studied chaotic system originally proposed to model a harmonic oscillator in equilibrium with a heat bath at constant…”
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13
Simple chaotic 3D flows with surfaces of equilibria
Published in Nonlinear dynamics (01-10-2016)“…Using a systematic computer search, twelve simple three-dimensional chaotic flows were found that have surfaces of equilibria. Although there are some…”
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A comparison of correlation and Lyapunov dimensions
Published in Physica. D (2005)“…This paper investigates the relation between the correlation ( D 2) and the Kaplan–Yorke dimension ( D KY) of three-dimensional chaotic flows. Besides the…”
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15
Can Lyapunov exponent predict critical transitions in biological systems?
Published in Nonlinear dynamics (01-04-2017)“…Transitions from one dynamical regime to another one are observed in many complex systems, especially biological ones. It is possible that even a slight…”
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Generalization of the simplest autonomous chaotic system
Published in Physics letters. A (21-03-2011)“…An extensive numerical search of jerk systems of the form x⃛+x¨+x=f(x˙) revealed many cases with chaotic solutions in addition to the one with f(x˙)=±x˙2 that…”
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17
Sentiment-driven limit cycles and chaos
Published in Journal of evolutionary economics (01-09-2017)“…A recent strand of macroeconomic literature has placed sentiment fluctuations at the forefront of the academic debate about the foundations of business cycles…”
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18
NARX prediction of some rare chaotic flows: Recurrent fuzzy functions approach
Published in Physics letters. A (15-02-2016)“…The nonlinear and dynamic accommodating capability of time domain models makes them a useful representation of chaotic time series for analysis, modeling and…”
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Amplitude control approach for chaotic signals
Published in Nonlinear dynamics (01-08-2013)Get full text
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20
Hyperchaos and hyperchaos control of the sinusoidally forced simplified Lorenz system
Published in Nonlinear dynamics (01-08-2012)“…This paper analyzes the hyperchaotic behaviors of the newly presented simplified Lorenz system by using a sinusoidal parameter variation and hyperchaos control…”
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