Clifford Algebras, Dynamical Systems and Periodic Orbitseprints.whiterose.ac.uk/80161/1/acse...

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This is a repository copy of Clifford Algebras, Dynamical Systems and Periodic Orbits . White Rose Research Online URL for this paper: http://eprints.whiterose.ac.uk/80161/ Monograph: Banks, S.P. and MacCaffrey, D. (1995) Clifford Algebras, Dynamical Systems and Periodic Orbits. Research Report. ACSE Research Report 588 . Department of Automatic Control and Systems Engineering [email protected] https://eprints.whiterose.ac.uk/ Reuse Unless indicated otherwise, fulltext items are protected by copyright with all rights reserved. The copyright exception in section 29 of the Copyright, Designs and Patents Act 1988 allows the making of a single copy solely for the purpose of non-commercial research or private study within the limits of fair dealing. The publisher or other rights-holder may allow further reproduction and re-use of this version - refer to the White Rose Research Online record for this item. Where records identify the publisher as the copyright holder, users can verify any specific terms of use on the publisher’s website. Takedown If you consider content in White Rose Research Online to be in breach of UK law, please notify us by emailing [email protected] including the URL of the record and the reason for the withdrawal request.

Transcript of Clifford Algebras, Dynamical Systems and Periodic Orbitseprints.whiterose.ac.uk/80161/1/acse...

Page 1: Clifford Algebras, Dynamical Systems and Periodic Orbitseprints.whiterose.ac.uk/80161/1/acse research report 588.pdf · Clifford algebras, generalizing the complex numbers and quaternions.

This is a repository copy of Clifford Algebras, Dynamical Systems and Periodic Orbits.

White Rose Research Online URL for this paper:http://eprints.whiterose.ac.uk/80161/

Monograph:Banks, S.P. and MacCaffrey, D. (1995) Clifford Algebras, Dynamical Systems and Periodic Orbits. Research Report. ACSE Research Report 588 . Department of Automatic Control and Systems Engineering

[email protected]://eprints.whiterose.ac.uk/

Reuse Unless indicated otherwise, fulltext items are protected by copyright with all rights reserved. The copyright exception in section 29 of the Copyright, Designs and Patents Act 1988 allows the making of a single copy solely for the purpose of non-commercial research or private study within the limits of fair dealing. The publisher or other rights-holder may allow further reproduction and re-use of this version - refer to the White Rose Research Online record for this item. Where records identify the publisher as the copyright holder, users can verify any specific terms of use on the publisher’s website.

Takedown If you consider content in White Rose Research Online to be in breach of UK law, please notify us by emailing [email protected] including the URL of the record and the reason for the withdrawal request.

Page 2: Clifford Algebras, Dynamical Systems and Periodic Orbitseprints.whiterose.ac.uk/80161/1/acse research report 588.pdf · Clifford algebras, generalizing the complex numbers and quaternions.
Page 3: Clifford Algebras, Dynamical Systems and Periodic Orbitseprints.whiterose.ac.uk/80161/1/acse research report 588.pdf · Clifford algebras, generalizing the complex numbers and quaternions.
Page 4: Clifford Algebras, Dynamical Systems and Periodic Orbitseprints.whiterose.ac.uk/80161/1/acse research report 588.pdf · Clifford algebras, generalizing the complex numbers and quaternions.
Page 5: Clifford Algebras, Dynamical Systems and Periodic Orbitseprints.whiterose.ac.uk/80161/1/acse research report 588.pdf · Clifford algebras, generalizing the complex numbers and quaternions.
Page 6: Clifford Algebras, Dynamical Systems and Periodic Orbitseprints.whiterose.ac.uk/80161/1/acse research report 588.pdf · Clifford algebras, generalizing the complex numbers and quaternions.
Page 7: Clifford Algebras, Dynamical Systems and Periodic Orbitseprints.whiterose.ac.uk/80161/1/acse research report 588.pdf · Clifford algebras, generalizing the complex numbers and quaternions.
Page 8: Clifford Algebras, Dynamical Systems and Periodic Orbitseprints.whiterose.ac.uk/80161/1/acse research report 588.pdf · Clifford algebras, generalizing the complex numbers and quaternions.
Page 9: Clifford Algebras, Dynamical Systems and Periodic Orbitseprints.whiterose.ac.uk/80161/1/acse research report 588.pdf · Clifford algebras, generalizing the complex numbers and quaternions.
Page 10: Clifford Algebras, Dynamical Systems and Periodic Orbitseprints.whiterose.ac.uk/80161/1/acse research report 588.pdf · Clifford algebras, generalizing the complex numbers and quaternions.
Page 11: Clifford Algebras, Dynamical Systems and Periodic Orbitseprints.whiterose.ac.uk/80161/1/acse research report 588.pdf · Clifford algebras, generalizing the complex numbers and quaternions.
Page 12: Clifford Algebras, Dynamical Systems and Periodic Orbitseprints.whiterose.ac.uk/80161/1/acse research report 588.pdf · Clifford algebras, generalizing the complex numbers and quaternions.
Page 13: Clifford Algebras, Dynamical Systems and Periodic Orbitseprints.whiterose.ac.uk/80161/1/acse research report 588.pdf · Clifford algebras, generalizing the complex numbers and quaternions.
Page 14: Clifford Algebras, Dynamical Systems and Periodic Orbitseprints.whiterose.ac.uk/80161/1/acse research report 588.pdf · Clifford algebras, generalizing the complex numbers and quaternions.
Page 15: Clifford Algebras, Dynamical Systems and Periodic Orbitseprints.whiterose.ac.uk/80161/1/acse research report 588.pdf · Clifford algebras, generalizing the complex numbers and quaternions.
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Page 17: Clifford Algebras, Dynamical Systems and Periodic Orbitseprints.whiterose.ac.uk/80161/1/acse research report 588.pdf · Clifford algebras, generalizing the complex numbers and quaternions.
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Page 19: Clifford Algebras, Dynamical Systems and Periodic Orbitseprints.whiterose.ac.uk/80161/1/acse research report 588.pdf · Clifford algebras, generalizing the complex numbers and quaternions.
Page 20: Clifford Algebras, Dynamical Systems and Periodic Orbitseprints.whiterose.ac.uk/80161/1/acse research report 588.pdf · Clifford algebras, generalizing the complex numbers and quaternions.
Page 21: Clifford Algebras, Dynamical Systems and Periodic Orbitseprints.whiterose.ac.uk/80161/1/acse research report 588.pdf · Clifford algebras, generalizing the complex numbers and quaternions.
Page 22: Clifford Algebras, Dynamical Systems and Periodic Orbitseprints.whiterose.ac.uk/80161/1/acse research report 588.pdf · Clifford algebras, generalizing the complex numbers and quaternions.
Page 23: Clifford Algebras, Dynamical Systems and Periodic Orbitseprints.whiterose.ac.uk/80161/1/acse research report 588.pdf · Clifford algebras, generalizing the complex numbers and quaternions.
Page 24: Clifford Algebras, Dynamical Systems and Periodic Orbitseprints.whiterose.ac.uk/80161/1/acse research report 588.pdf · Clifford algebras, generalizing the complex numbers and quaternions.
Page 25: Clifford Algebras, Dynamical Systems and Periodic Orbitseprints.whiterose.ac.uk/80161/1/acse research report 588.pdf · Clifford algebras, generalizing the complex numbers and quaternions.