Chaotic dynamics in classical nuclear billiards

Bordeianu, Cristian C.; Felea, D.; Beşliu, C.; Jipa, Al.; Grossu, Ioan Valeriu

doi:10.1016/j.cnsns.2010.03.016

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Cited by 2 publications

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“…In a previous work [1], we presented "Chaos Many-Body Engine" code library for chaos analysis of relativistic many-body systems. Inspired by existing studies on Fermi nuclear systems [2][3][4][5], we tried to apply chaos theory to the more complex case of nuclear relativistic collisions at 4.5 A GeV/c. In this domain of energies it is possible to apply the many-body representation, as the nucleon de Broglie wavelength is less than the average inter-nucleonic distance, and the nucleon mean free path is shorter than the target radius [6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Code C# for chaos analysis of relativistic many-body systems with reactions

Grossu

Beşliu

Jipa

et al. 2012

Computer Physics Communications

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Section: Introductionmentioning

confidence: 99%

Code C# for chaos analysis of relativistic many-body systems with reactions

Grossu

Beşliu

Jipa

et al. 2012

Computer Physics Communications

Self Cite

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Dynamics of a Mechanical System with Curve of Equilibria: Cosymmetry and Multistability

Говорухин

Tsybulin

2022

Int. J. Bifurcation Chaos

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We analyze the effects of extreme multistability in a mechanical system which describes the movement of an idealized ball over a surface like a Mexican hat. The mathematical model is given by a system of autonomous ordinary differential equations with parameters. In particular cases of rotational symmetry and cosymmetry, the system has a curve of asymptotically stable equilibria. The symmetry gives a circle of equilibria with identical stability spectra, whereas the cosymmetry produces an ellipse of equilibria with nonidentical properties. The destruction of both symmetry and cosymmetry leads to a finite number of equilibria (multistability). We study the dynamics for conservative (without dissipation) and dissipative (linear damping) cases using analytical methods and computer simulation. We found interesting effects caused by extreme multistability: nontrivial selection of equilibria of the family, high sensitivity to initial data because of memory about conservative chaos, and essential difference in dynamics in rotational symmetry and cosymmetry cases.

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Chaotic dynamics in classical nuclear billiards

Cited by 2 publications

References 19 publications

Code C# for chaos analysis of relativistic many-body systems with reactions

Code C# for chaos analysis of relativistic many-body systems with reactions

Dynamics of a Mechanical System with Curve of Equilibria: Cosymmetry and Multistability

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