Papers by Avadis S Hacinliyan
A possible evolution scheme for the universe by spontaneous changes in the cosmological constant ... more A possible evolution scheme for the universe by spontaneous changes in the cosmological constant is analyzed.
In this article dynamical behavior of coupled Duffing oscillators is analyzed under a small modif... more In this article dynamical behavior of coupled Duffing oscillators is analyzed under a small modification. The oscillators have cubic damping instead of linear one. Although single duffing oscillator has complex dynamics, coupled duffing systems possess a much more complex structure. The dynamical behavior of the system is investigated both numerically and analytically. Numerical results indicate that the system has double scroll attractor with suitable parameter values. On the other hand, bifurcation diagrams illustrate rich behavior of the system, and it is seen that, system enters into chaos with different routes. Beside classical bifurcations, bubbling route to chaos is observed for suitable parameter settings. On the other hand, Multistability of the system is indicated with the coexisting attractors, such that under same parameter setting the system shows different periodic and chaotic attractors. Moreover, chaotic synchronization of coupled oscillators is illustrated in final ...
Europhysics News
Istanbul 80626. He is mainly interested in the theoretical aspects of chaotic phenomena observed ... more Istanbul 80626. He is mainly interested in the theoretical aspects of chaotic phenomena observed in a broad range of disciplines.
Turkish Journal of Mathematics, 1992
Il Nuovo Cimento A, 1970
ABSTRACT
Physics Letters B, 1985
ABSTRACT We analyze a possible scheme of the evolution of the universe by studying the bound stat... more ABSTRACT We analyze a possible scheme of the evolution of the universe by studying the bound state energy spectrum in conformal gravity and investigating transitions involving spontaneous changes of the cosmological constant via excitation followed by deexcitation involving ``particle'' creation.
Il Nuovo Cimento A, 1981
ABSTRACT
Il Nuovo Cimento A, 1978
Sum rules relating .$%\", ,-r~ '~ and K~ ~ cross-sections arc reexamined. It is shown that extend... more Sum rules relating .$%\", ,-r~ '~ and K~ ~ cross-sections arc reexamined. It is shown that extending Lipkin's two-component pomeron hypothesis to the new heavy-quark channels through traceless diagonal matrices yields satisfactory estimates of the e and b thresholds, and predicts the t-quark mass to be about l0 GoV. 1.-Introduction.
SEPTEMBER, 1971 Formulae for the structure functions Wl and W2 are obtained using the statistical... more SEPTEMBER, 1971 Formulae for the structure functions Wl and W2 are obtained using the statistical approach to the Veneziano model together with Pomeron dominance. A form for W2 is obtained that scales and agrees well with the data. The question of the scaling of Wl is discussed in relation to theavailable data. Phase space corrections and generalized Glauber corrections are then discussed in connection with e-D scattering. These corrections are found to be much smaller than the experimentally observed di fference between the deuteron cross section and twice the free'.i;lon cross section. Hence, l contributions from both the Pomeron and lower trajectories are used to Contract No. AT (11-1)-264 generalize the model. Satisfactory agreement is obtained.
In the simulation of a dynamcal system, if the system at hand possesses a chaotic nature, the cho... more In the simulation of a dynamcal system, if the system at hand possesses a chaotic nature, the choice of time step is crucial. Characterizing a chaotic system, the precission of measurements play a major role for such systems that almost any imprecission in the observables shows a tendency of exponentially propogating in time. Ironically, to reveal this property, one has to simulate the system, as it is yet the only available method to compute the Lyapunov exponents of a system (the quantities which carry the fingerprint of chaos or non-chaos). Continuous time simulation algorithms to compute the Lyapunov exponents augments a given system by equations that govern the time evolution of a set of unit basis vectors about a fiducial trajectory. One such method is Wiesel algorithm. In this work, it is shown that the Wiesel algorithm represents a system which exactly maintains an orthonormal basis for the tangent flow. The choice of simulation time steps for chaotic systems is considered a...
The concept of Lyapunov exponents is presented. The possibility of formulating methods for algebr... more The concept of Lyapunov exponents is presented. The possibility of formulating methods for algebraically determining the signs and magnitudes of Lyapunov exponents is investigated. Special considerations have been given for the determination of zero Lyapunov exponents. Proposed methods are applied to a number of Hamiltonian and non-Hamiltonian systems.
We find a solution involving a time dependent cosmological constant to the short distance gravity... more We find a solution involving a time dependent cosmological constant to the short distance gravity model which may be interpreted as inflationary.
We have confirmed that quadratically self coupled two-dimensional Lotka-Volterra systems do not p... more We have confirmed that quadratically self coupled two-dimensional Lotka-Volterra systems do not possess inherent stability and require the addition of non-polynomial, non-monotonic terms to induce stability and more realistic bifurcation schemes. As suggested by Y. Nutku [Hamilton structure of the Lotka-Volterra equations. Phys. Lett. A 145, 27 ff (1990], a simpler way of inducing non monotonicity and stability is changing the self coupling from quadratic to cubic. This introduces stability at least in the linearized approximation. The normal form method or numerical simulation could be invoked to study the behavior of the system near these equilibrium points.
Maxwell-Bloch equations, also known as Lorenz-Haken equations, repre-sent the laser working mecha... more Maxwell-Bloch equations, also known as Lorenz-Haken equations, repre-sent the laser working mechanism and can be derived from the classical eqauations for the electromagnetic field and quantum mechanical equations for the particles un-der special conditions. For special conditions on the parameters, it is related to the Lorenz model and behave similarly. Maxwell-Bloch equations exhibit various types of routes to chaos for different parameter ranges. In this study, a constrained lagrangian form that lead to the Maxwell-Bloch equations has been obtained from the equivalent treatment of the Lorenz model. This allows us to analyze the long term behaviour of its attractor.
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Papers by Avadis S Hacinliyan