Signs and magnitudes of Lyapunov exponents in continuous time dynamical systems

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dc.contributorPh.D. Program in Physics.
dc.contributor.advisorHacinliyan, Avadis.
dc.contributor.authorBirol, İnanç.
dc.date.accessioned2023-03-16T10:46:04Z
dc.date.available2023-03-16T10:46:04Z
dc.date.issued1997.
dc.description.abstractMethods for algebraically determining the signs and the magnitudes of Lyapunov exponents of a given dynamical system are studied.A number of Hamiltonian and dissipative systems are investigated.The existence of zero Lyapunov exponents for the Toda and Henon-Heiles systems are shown using the curvature of their potentials functions.For the Rossler system,the root bracketing criterion is used to show the existence of a zero Lyapunov exponent.The approximate Lyapunov spectra of Lorenz and Rossler systems are computed using the approximation schemes introduced.
dc.format.extent30 cm.
dc.format.pagesxii, 68 leaves;
dc.identifier.otherPHYS 1997 B53 PhD
dc.identifier.urihttps://digitalarchive.library.bogazici.edu.tr/handle/123456789/13769
dc.publisherThesis (Ph.D.) - Bogazici University. Institute for Graduate Studies in Sciences and Engineering, 1997.
dc.relationIncludes appendices.
dc.relationIncludes appendices.
dc.subject.lcshLyapunov exponents.
dc.subject.lcshHamiltonian systems.
dc.titleSigns and magnitudes of Lyapunov exponents in continuous time dynamical systems

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