Analyzing the synchronization of Rössler systems – When trigger-and-reinject is equally important as the spiral motion

An-Liang Cheng; Yih-Yuh Chen

doi:10.1016/j.physleta.2017.09.042

Analyzing the synchronization of Rössler systems – When trigger-and-reinject is equally important as the spiral motion

Physics Letters A ◽

10.1016/j.physleta.2017.09.042 ◽

2017 ◽

Vol 381 (42) ◽

pp. 3641-3651 ◽

Cited By ~ 1

Author(s):

An-Liang Cheng ◽

Yih-Yuh Chen

Keyword(s):

Spiral Motion

5 Helical and spiral motion

Nature and Numbers ◽

10.1515/9783990436240.105 ◽

2014 ◽

pp. 105-124

Keyword(s):

Spiral Motion

A random walk approach to spiral motion

Journal of Physics A General Physics ◽

10.1088/0305-4470/27/6/008 ◽

1994 ◽

Vol 27 (6) ◽

pp. 1791-1810 ◽

Cited By ~ 6

Author(s):

M O Vlad

Keyword(s):

Random Walk ◽

Spiral Motion

Estimation of the Effect of a Parameter Change on the Roots of Stability Equations

Aeronautical Quarterly ◽

10.1017/s0001925900000068 ◽

1949 ◽

Vol 1 (1) ◽

pp. 39-58 ◽

Cited By ~ 1

Author(s):

K. Mitchell

Keyword(s):

Secular Equation ◽

Probable Error ◽

Typical Case ◽

Lateral Stability ◽

Parameter Change ◽

Longitudinal Stability ◽

Quartic Equation ◽

Spiral Motion ◽

The Stability

SummaryA method is given for calculating approximately the changes in the roots of a stability secular equation caused by a change in any of the parameters involved. General formulas are given applicable to any quartic equation, and special formulae are also given applicable to the stability of an aeroplane: lateral stability in the text, and longitudinal stability in an appendix. The method of using the formulae is illustrated by applying them to a particular calculation of the lateral stability of an aeroplane, and a check of the results is made by comparing the predicted approximate changes with those calculated by solution of the modified period equations. It is shown that the formulae are reliable, for this typical case, for any reasonable changes in any parameter other than nv. If the changes in the derivatives are made equal to the probable error with which they can be measured, the formulae enable us to evaluate the probable errors of the roots. These are found to be considerable, and to arise mainly from uncertainties in yv, nv and nr: if these could be reduced to 0.03 in yv and 0.006 in the others, the uncertainties in the roots would be reduced to some ten per cent, of their values, except for a larger uncertainty in the root corresponding to the slow spiral motion.

Spiral motion of a cylinder in a power-law non-newtonian fluid

Journal of Engineering Physics ◽

10.1007/bf00829381 ◽

1970 ◽

Vol 18 (5) ◽

pp. 555-558

Author(s):

I. P. Grinchik ◽

A. Kh. Kim

Keyword(s):

Newtonian Fluid ◽

Power Law ◽

Spiral Motion

Motion Aftereffect: A Global Mechanism for the Perception of Rotation

Perception ◽

10.1068/p090175 ◽

1980 ◽

Vol 9 (2) ◽

pp. 175-182 ◽

Cited By ~ 38

Author(s):

Patrick Cavanagh ◽

Olga Eizner Favreau

Keyword(s):

Motion Aftereffect ◽

Mirror Image ◽

Test Figure ◽

Spiral Motion ◽

Logarithmic Spirals ◽

Motion Aftereffects ◽

Storage Properties

Observers adapted to motion by looking at rotating logarithmic spirals. They were tested with a stationary mirror image of the adapting spiral in which all contours were at 90° to those of the first spiral. Motion aftereffects were reported in the contrarotational direction—that is, observers who had seen clockwise rotating motion reported seeing counterclockwise aftereffects. These aftereffects lasted one-third as long as the aftereffects obtained when the adapting spiral was used as the test figure. These two aftereffects were shown to have different storage properties, thereby indexing the operation of at least two different mechanisms. We interpret the motion aftereffect that is obtained with the mirror-image stimulus as indicative of the existence of global rotation detectors.

A215 Mechanical Analysis of Plant Fruit Catapulting Seeds by Spiral Motion

The Proceedings of the JSME Conference on Frontiers in Bioengineering ◽

10.1299/jsmebiofro.2009.20.81 ◽

2009 ◽

Vol 2009.20 (0) ◽

pp. 81-82

Author(s):

Yohei SAKAI ◽

Yasuhiro ENDO ◽

Jiro SAKAMOTO ◽

Eichiro Kinoshita

Keyword(s):

Mechanical Analysis ◽

Spiral Motion

1914 Mechanical Analysis of Plant Fruit Catapulting Seeds by Spiral Motion

The Proceedings of The Computational Mechanics Conference ◽

10.1299/jsmecmd.2009.22.790 ◽

2009 ◽

Vol 2009.22 (0) ◽

pp. 790-791

Author(s):

Yohei SAKAI ◽

Yasuhiro ENDO ◽

Jiro SAKAMOTO ◽

Eichiro Kinoshita

Keyword(s):

Mechanical Analysis ◽

Spiral Motion

Spiral motion formation in astrophysics

The European Physical Journal Plus ◽

10.1140/epjp/i2013-13142-9 ◽

2013 ◽

Vol 128 (11) ◽

Cited By ~ 12

Author(s):

Jiří Kovář

Keyword(s):

Spiral Motion

Planning spiral motion of nonholonomic space robots

Proceedings of IEEE International Conference on Robotics and Automation ◽

10.1109/robot.1996.503859 ◽

2002 ◽

Cited By ~ 13

Author(s):

T. Suzuki ◽

Y. Nakamura

Keyword(s):

Space Robots ◽

Spiral Motion

Motion of spiral waves induced by local pacing

Open Physics ◽

10.2478/s11534-008-0068-3 ◽

2008 ◽

Vol 6 (3) ◽

Author(s):

Jiang-Xing Chen ◽

Gui-Na Wei ◽

Bing-Wei Li ◽

Jiang-Rong Xu

Keyword(s):

Spiral Waves ◽

Excitable Media ◽

Spiral Motion ◽

Analytical Results

AbstractThe motion of spiral waves in excitable media driven by a weak pacing around the spiral tip is investigated numerically as well as theoretically. We presented a Bifurcations diagram containing four types of the spiral motion induced by different frequencies of pacing: rigidly rotating, inward-petal meandering, resonant drift, and outward-petal meandering spiral. Simulation shows that the spiral resonantly drifts when the frequency of pacing is close to that of the spiral rotation. We also find that the speed and direction of the drift can be efficiently controlled by means of the strength and phase of the local pacing, which is consistent with analytical results based on the framework of the weak deformation approximation.