Archives and Documentation Center
Digital Archives

Signs and magnitudes of Lyapunov exponents in continuous time dynamical systems

Show simple item record

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.identifier.other PHYS 1997 B53 PhD
dc.identifier.uri http://digitalarchive.boun.edu.tr/handle/123456789/13769
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.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
dc.format.pages xii, 68 leaves;


Files in this item

This item appears in the following Collection(s)

Show simple item record

Search Digital Archive


Browse

My Account