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Statements

Subject Item
dbr:Otto_Rössler
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dbr:Chaotic_hysteresis
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dbr:Chaotic_hysteresis
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Chaotic hysteresis
rdfs:comment
A nonlinear dynamical system exhibits chaotic hysteresis if it simultaneously exhibits chaotic dynamics (chaos theory) and hysteresis. As the latter involves the persistence of a state, such as magnetization, after the causal or exogenous force or factor is removed, it involves multiple equilibria for given sets of control conditions. Such systems generally exhibit sudden jumps from one equilibrium state to another (sometimes amenable to analysis using catastrophe theory). If chaotic dynamics appear either prior to or just after such jumps, or are persistent throughout each of the various equilibrium states, then the system is said to exhibit chaotic hysteresis. Chaotic dynamics are irregular and bounded and subject to sensitive dependence on initial conditions.
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dbc:Bifurcation_theory dbc:Chaos_theory
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15190840
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940604128
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dbr:J._Barkley_Rosser,_Jr. dbr:Combinatorial_optimization dbr:Ralph_Abraham_(mathematician) dbr:Hysteresis dbc:Bifurcation_theory dbr:Dynamical_system dbr:Otto_Rössler dbr:Neural_networks dbr:Catastrophe_theory dbc:Chaos_theory dbr:Integer_programming dbr:Chaos_theory
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InternetArchiveBot
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February 2020
dbp:fixAttempted
yes
dbo:abstract
A nonlinear dynamical system exhibits chaotic hysteresis if it simultaneously exhibits chaotic dynamics (chaos theory) and hysteresis. As the latter involves the persistence of a state, such as magnetization, after the causal or exogenous force or factor is removed, it involves multiple equilibria for given sets of control conditions. Such systems generally exhibit sudden jumps from one equilibrium state to another (sometimes amenable to analysis using catastrophe theory). If chaotic dynamics appear either prior to or just after such jumps, or are persistent throughout each of the various equilibrium states, then the system is said to exhibit chaotic hysteresis. Chaotic dynamics are irregular and bounded and subject to sensitive dependence on initial conditions.
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wikipedia-en:Chaotic_hysteresis?oldid=940604128&ns=0
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wikipedia-en:Chaotic_hysteresis
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