Signs and magnitudes of Lyapunov exponents in continuous time dynamical systems

dc.contributor	Ph.D. Program in Physics.
dc.contributor.advisor	Hacinliyan, Avadis.
dc.contributor.author	Birol, İnanç.
dc.date.accessioned	2023-03-16T10:46:04Z
dc.date.available	2023-03-16T10:46:04Z
dc.date.issued	1997.
dc.description.abstract	Methods 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.extent	30 cm.
dc.format.pages	xii, 68 leaves;
dc.identifier.other	PHYS 1997 B53 PhD
dc.identifier.uri	https://hdl.handle.net/20.500.14908/13769
dc.publisher	Thesis (Ph.D.) - Bogazici University. Institute for Graduate Studies in Sciences and Engineering, 1997.
dc.relation	Includes appendices.
dc.relation	Includes appendices.
dc.subject.lcsh	Lyapunov exponents.
dc.subject.lcsh	Hamiltonian systems.
dc.title	Signs and magnitudes of Lyapunov exponents in continuous time dynamical systems

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