Keywords

chaos, environmental interface, substance exchange, coupled logistic maps, sample entropy

Start Date

1-7-2010 12:00 AM

Description

In modeling environmental interfaces regarded as biophysical complex systems, one of the main tasks is to create an operative interface with the external environment. The interface should provide a robust and prompt translation of the vast diversity of external physical and/or chemical changes into a set of signals that are understandable for a biophysical entity. Although the organization of any system is of crucial importance for its functioning, it should not be forgotten that in biophysical systems we deal with real-life problems where a number of other conditions must be satisfied in order to put the system to work. One of them is the proper supply of the system with necessary substances. Their exchange in biophysical systems can be described by the dynamics of driven coupled oscillators. In order to study their behavior, we consider the dynamics of two coupled maps representing the substance exchange processes between two biophysical entities in their surrounding environment. Further, we investigate the behavior of the Lyapunov exponent as a measure of how rapidly two nearby orbits converge or diverge. In addition we calculate corresponding cross-sample entropy as a measure of synchronization.

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Jul 1st, 12:00 AM

Interacting Environmental Interfaces: Synchronization in Substance Exchange between Environmental Interfaces Regarded as Biophysical Complex Systems

In modeling environmental interfaces regarded as biophysical complex systems, one of the main tasks is to create an operative interface with the external environment. The interface should provide a robust and prompt translation of the vast diversity of external physical and/or chemical changes into a set of signals that are understandable for a biophysical entity. Although the organization of any system is of crucial importance for its functioning, it should not be forgotten that in biophysical systems we deal with real-life problems where a number of other conditions must be satisfied in order to put the system to work. One of them is the proper supply of the system with necessary substances. Their exchange in biophysical systems can be described by the dynamics of driven coupled oscillators. In order to study their behavior, we consider the dynamics of two coupled maps representing the substance exchange processes between two biophysical entities in their surrounding environment. Further, we investigate the behavior of the Lyapunov exponent as a measure of how rapidly two nearby orbits converge or diverge. In addition we calculate corresponding cross-sample entropy as a measure of synchronization.