Ph.D. Program in Physics.Hacinliyan, Avadis.Birol, İnanç.2023-03-162023-03-161997.PHYS 1997 B53 PhDhttps://digitalarchive.library.bogazici.edu.tr/handle/123456789/13769Methods 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.30 cm.Lyapunov exponents.Hamiltonian systems.xii, 68 leaves;