Integer numbers of natural units （Planck units） to express Newton＇s inverse square law of gravitation in terms of quantum mechanical probabilities are used. The strong nuclear force between two coupled nucleons is ...Integer numbers of natural units （Planck units） to express Newton＇s inverse square law of gravitation in terms of quantum mechanical probabilities are used. The strong nuclear force between two coupled nucleons is derived, the minds of giants such as Newton and Einstein are met. There is a considerable continuing effort directed for the understanding of gravity and the constants of nature, last century＇s legacy of Arthur Stanley Eddington.展开更多
This article introduces a new chaotic system of three-dimensional quadratic autonomous ordinary differential equations, which can display different attractors with two unstable equilibrium points and four unstable equ...This article introduces a new chaotic system of three-dimensional quadratic autonomous ordinary differential equations, which can display different attractors with two unstable equilibrium points and four unstable equilibrium points respectively. Dynamical properties of this system are then studied. Furthermore, by applying the undetermined coefficient method, heteroclinic orbit of Shil＇nikov＇s type in this system is found and the convergence of the series expansions of this heteroclinic orbit are proved in this article. The Shil＇nikov＇s theorem guarantees that this system has Smale horseshoes and the horseshoe chaos.展开更多
By calculating the azimuth, phase angle and change rate of tidal force, and contrasting their rupture types, we find that in 6 of 11 reverse faulting earthquakes, the angles between the direction of the horizontal tid...By calculating the azimuth, phase angle and change rate of tidal force, and contrasting their rupture types, we find that in 6 of 11 reverse faulting earthquakes, the angles between the direction of the horizontal tidal force and compressive principal stress are within 33°, the vertical phase angles of all 8 strike-slip earthquakes are in the upward peak section and the vertical phase angles of two extensional normal faulting earthquakes are in the downward peak section. According to the above statistics, the mechanism of tidal force triggering of the Wenchnan Ms8. 0 Earthquake and its strong aftershocks is discussed.展开更多
文摘Integer numbers of natural units （Planck units） to express Newton＇s inverse square law of gravitation in terms of quantum mechanical probabilities are used. The strong nuclear force between two coupled nucleons is derived, the minds of giants such as Newton and Einstein are met. There is a considerable continuing effort directed for the understanding of gravity and the constants of nature, last century＇s legacy of Arthur Stanley Eddington.
基金The project supported by National Natural Science Foundation of China under Grant Nos. 60074034 and 70271068
文摘This article introduces a new chaotic system of three-dimensional quadratic autonomous ordinary differential equations, which can display different attractors with two unstable equilibrium points and four unstable equilibrium points respectively. Dynamical properties of this system are then studied. Furthermore, by applying the undetermined coefficient method, heteroclinic orbit of Shil＇nikov＇s type in this system is found and the convergence of the series expansions of this heteroclinic orbit are proved in this article. The Shil＇nikov＇s theorem guarantees that this system has Smale horseshoes and the horseshoe chaos.
基金sponsored under the Seismic Situation Tracing Directional Work Project in Contract System in 2009 (20090203012009010107),China
文摘By calculating the azimuth, phase angle and change rate of tidal force, and contrasting their rupture types, we find that in 6 of 11 reverse faulting earthquakes, the angles between the direction of the horizontal tidal force and compressive principal stress are within 33°, the vertical phase angles of all 8 strike-slip earthquakes are in the upward peak section and the vertical phase angles of two extensional normal faulting earthquakes are in the downward peak section. According to the above statistics, the mechanism of tidal force triggering of the Wenchnan Ms8. 0 Earthquake and its strong aftershocks is discussed.
